Piecewise Defined Function

Adv Math: Piecewise Defined Functions

Multiple Choice

In the image, in what domain is  $$f\left(x\right)=x?$$  

• $$x\le-3$$  

• $$x<3$$  

• $$-3\le x\le1$$  

• $$x>1$$  

Multiple Choice

Which piecewise function corresponds to this graph?

• $$f\left(x\right)\left\{x\ \ \ \ if\ \ \ x<4;\ -x+1\ \ \ \ if\ \ \ x\ge4\right\}$$

• $$f\left(x\right)=\left\{x\ \ \ \ \ if\ \ \ \ x\le4;\ \ \ -x+1\ \ \ \ if\ x\ge4\right\}$$

• $$f\left(x\right)=\left\{-x+1\ \ \ \ if\ \ \ x<4;\ \ \ \ x\ \ \ \ if\ \ \ x\ge4\right\}$$

Multiple Choice

Determine which is the graph of  $$f\left(x\right)=\left\{3x+2\right\}$$  if  $$x<5$$   and  $$f\left(x\right)=\left\{-2x-2\right\}$$  if  $$x\ge5$$